Fractal Cristal








   Artistic Concept:


Oil 5 – Fractal Cristal ( of Newton [1642-1727] )

2007 - ( 30 x 60 cm )


   Scientific Concept:


     Although the number of people interested in appreciation of fractal geometry is still scarce, among students, scientists, artists or just common people, the community of curious and enthusiastic about this issue is growing day by day. The concept of fractality is constantly revealed as a hidden order of the structure of Nature. This organization can be associated with many forms, such as:  the shape of the clouds  or soap bubbles; and it is also present in the formation of plants as fetus and broccoli; and equally present in ice crystals, tectonic faults, and even in the organization and dispersion of galaxies throughout the universe. These are all patterns that obey to the fractal geometry. This geometry seems to appeal to a Geometry of Chaos, but in fact chaos is a constant, orderly, organized state, able to be described by formulas and statistical models. The fractal objects allude to an infinite division of matter, revealing hidden dimensions of the same repeating and standardized pattern as the scale is expanded or decreased. The base form or image is always the same, which is multiplied or divided by the profusion of the scale, suggesting that what you see is nothing more than a repetition of Nature and the Cosmos; an endless repetition and a constant one, which manifests whenever different scales of observation are used. Therefore, and to paraphrase William Blake, perhaps it is actually possible to "see the world in a grain of sand".

     The fractal images fall into one organized geometry, just like the mathematics of fractal geometry, Nature also seems to be fascinated by the order of numbers. The fractal is an image that is repeated infinitely, perhaps then, in the fractal geometry one can find the very reflection of nature and geometry of the Universe!

     In the center of this new science is associated the concept of infinity. Infinity is the most mysterious number of mathematics, equally absent and present, accurate and indefinite, complete and imperfect. A mathematical term initially vague and impossible to treat, whose symbol ∞ was proposed by the English mathematician John Wallis in 1655, but later suffered a revolutionary application. The concept of infinity has been further developed by Isaac Newton in the seventeenth century, developing it and applying it to the ‘limit’ concept, marking a revolutionary turn in the History of Science. With its fundamental theorem of calculus, Newton establishes an amazing relationship between the differential calculus and integral calculus, essential tools in modern mathematics.

     This scientist, with a character of its own, was able to revolutionize the world of science with his many discoveries, not only in mathematics but also in the field of physics. His works were of great diversity and covered very different areas: from the study of the decomposition of light in a prism; the invention of a new telescope; the study of movements of the stars; culminating in a theory that he published in 1686, which reveals the existence of a universal law of gravitation and attraction.

     Humanity has a great debt to this brilliant mathematician and physicist.

     But according to his own words, he also realized that the whole process of an idea is an infinite interlacement with other ideas:


If I could see further was because I was upon the shoulders of giants.”


( 1642 – 1727 )


   Literary Concept:


“Wanting the infinite infinitely.”



“If you think the infinite, you think and confirm your infinite ability to think.”



“The thought makes the greatness of man.”



“We have a measuring instrument whose range has no limit:

our thought.”



“What leads and drags the world are not the machines, but the ideas.”



“Nature and its laws were hidden in the night,

God said, let it be Newton! And all was light.”

ALEXANDRE ( the Pope )


“In the existence, the watchword is always forward.

Existence is the synthesis of the infinite and of the finite,

and the existing individual is simultaneously finite and infinite.”



“He who expects the impossible is the greatest of all.”



“Forget the distinctions. Jump into the unlimited and make it your home.”



‘Only human thought reveals the energy of the infinite.’